2024 AMC 8 第 19 题
先试着解答 2024 AMC 8 第 19 题，然后核对你的答案与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2024 AMC 8 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
19.
Jordan 有 双运动鞋。其中五分之三是红色，其余是白色；三分之二是高帮，其余是低帮。红色高帮运动鞋占全部运动鞋的比例最小可能是多少？
Jordan owns pairs of sneakers. Three fifths of the pairs are red and the rest are white. Two thirds of the pairs are high-top and the rest are low-top. The red high-top sneakers make up a fraction of the collection. What is the least possible value of this fraction?
小提示：
有 双红色鞋和 双高帮鞋
There are red pairs and high-top pairs
大提示：
要让红色高帮最少，就让尽可能多的白色鞋成为高帮
To minimize red high-tops, make as many white pairs high-top as possible
解答：
红色鞋有 双，白色鞋有 双。另外，高帮鞋有 双，低帮鞋有 双。为了让红色高帮尽量少，先让全部 双白色鞋都是高帮，还需要 双红色高帮，所以最小分数为 。
所以正确答案是 C。
Jordan has pairs of red sneakers and pairs of white sneakers. Moreover, are high-top and are low-top. If we want to minimize the number of red high-top sneakers, then we can set all white sneakers to be high-top, leaving red sneakers as high-top. Hence, the fraction of red high-top sneakers would be .
Thus, C is the correct answer.
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